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Finding the Fourth Proportional to 143,298.56, 214,947.20 and 49,804

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Solution

The fourth proportional to 143,298.56, 214,947.20 and 49,804 is: 74,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,298.56 : 214,947.20 = 49,804 : x
  2. Step 2: Convert to fraction form
    143,298.56/214,947.20 = 49,804/x
  3. Step 3: Cross multiply
    143,298.56x = 214,947.20 × 49,804
  4. Step 4: Simplify right side
    143,298.56x = 10,705,230,348.80
  5. Step 5: Solve for x
    x = 10,705,230,348.80/143,298.56
  6. Step 6: Final answer
    x = 74,705.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.